Atkin-Lehner |
3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16905o |
Isogeny class |
Conductor |
16905 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
-121766715 = -1 · 32 · 5 · 76 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -4 0 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-65,-547] |
[a1,a2,a3,a4,a6] |
j |
-262144/1035 |
j-invariant |
L |
1.5332701470309 |
L(r)(E,1)/r! |
Ω |
0.76663507351547 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50715m1 84525bt1 345b1 |
Quadratic twists by: -3 5 -7 |